How to Find Fractions Equivalent to 1/3
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 3 × 2 = 6.
3. Verify the ratio
1 × 6 and 3 × 2 both equal 6.
What Is Equivalent to 1/3?
Direct answer
2/6, 3/9, and 4/12 are equivalent to 1/3.
Fraction Converter
Enter whole-number numerator and denominator values. Results update instantly.
Simplified
1/3
Decimal
0.333333…
Percent
33.333333%
Equivalent fractions
2/6 · 3/9 · 4/12
Equivalent Fraction Table for 1/3
Multiply the numerator and denominator by the same non-zero whole number. The written numbers change, but the ratio stays equal.
| Multiplier | Calculation | Equivalent fraction | Cross-product check |
|---|---|---|---|
| × 2 | (1 × 2) / (3 × 2) | 2/6 | 1 × 6 = 3 × 2 |
| × 3 | (1 × 3) / (3 × 3) | 3/9 | 1 × 9 = 3 × 3 |
| × 4 | (1 × 4) / (3 × 4) | 4/12 | 1 × 12 = 3 × 4 |
| × 5 | (1 × 5) / (3 × 5) | 5/15 | 1 × 15 = 3 × 5 |
| × 6 | (1 × 6) / (3 × 6) | 6/18 | 1 × 18 = 3 × 6 |
| × 7 | (1 × 7) / (3 × 7) | 7/21 | 1 × 21 = 3 × 7 |
Where 1/3 Appears
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
Compare Every Form
- Fraction1/3
- Simplified fraction1/3
- Decimal0.333333…
- Percent33.333333%
Related Fraction Guides
Frequently Asked Questions
What fraction is equivalent to 1/3?
2/6 is one equivalent fraction because both terms were multiplied by 2.
Is 1/3 already simplified?
Yes. 1/3 is in lowest terms because its terms share no factor greater than 1.
How can I check an equivalent fraction for 1/3?
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
What are the decimal and percent forms of 1/3?
1/3 equals 0.333333… as a decimal and 33.333333% as a percentage.